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Daniel [21]
3 years ago
14

12 friends shared 8 small pizzas equally how much pizza did each person get?

Mathematics
2 answers:
timofeeve [1]3 years ago
6 0
To get the answer you have to do 12 divided by 8
12/8=1.5
So everyone got 1 and 1/2 pizzas per person
natali 33 [55]3 years ago
4 0
12 divided by 8 and you'll get your answer of 1.5 (: 
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Starbucks sells their coffee for $3.36 for 24 ounces
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Answer:

Starbucks by 1 cent difference.

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Julli [10]

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

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7 0
3 years ago
Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .
kogti [31]

Answer:

The family of all prime numbers such that a^{2} + b^{2} + c^{2} -1 is a perfect square is represented by the following solution:

a is an arbitrary prime number. (1)

b = \sqrt{1 + 2\cdot a \cdot c} (2)

c is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if (x+y)^{2} = x^{2} + 2\cdot x\cdot y  + y^{2}. From statement, we must fulfill the following identity:

a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}

By Associative and Commutative properties, we can reorganize the expression as follows:

a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2} (1)

Then, we have the following system of equations:

x = a (2)

(b^{2}-1) = 2\cdot x\cdot y (3)

y = c (4)

By (2) and (4) in (3), we have the following expression:

(b^{2} - 1) = 2\cdot a \cdot c

b^{2} = 1 + 2\cdot a \cdot c

b = \sqrt{1 + 2\cdot a\cdot c}

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, a, b, c > 1. If a, b and c are prime numbers, then  2\cdot a\cdot c must be an even composite number, which means that a and c can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, b must be a natural number, which means that:

1 + 2\cdot a\cdot c \ge 4

2\cdot a \cdot c \ge 3

a\cdot c \ge \frac{3}{2}

But the lowest possible product made by two prime numbers is 2^{2} = 4. Hence, a\cdot c \ge 4.

The family of all prime numbers such that a^{2} + b^{2} + c^{2} -1 is a perfect square is represented by the following solution:

a is an arbitrary prime number. (1)

b = \sqrt{1 + 2\cdot a \cdot c} (2)

c is another arbitrary prime number. (3)

Example: a = 2, c = 2

b = \sqrt{1 + 2\cdot (2)\cdot (2)}

b = 3

4 0
3 years ago
Find the slope that passes through these two points.
barxatty [35]

Answer:

m =  \frac{ - 1 - 4}{2  + 3}  \\ m =  - 1

Good luck!

Intelligent Muslim,

From Uzbekistan.

5 0
3 years ago
the class had a pizza party 3/8 of a pizza was left over and 4/8 of a pizza with other pizza was left over you put them both int
matrenka [14]
You would have 7/8 of pizza slices total.
4 0
3 years ago
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